Answer:
1 3/5 miles/hr
Step-by-step explanation:
Let C be the speed of the current
Let D be the distance between Chan's house and the park
We know that Distance, D, is = Speed x Time
-----
Chan's speed going upstream is (8 - C)mph.
That gives us:
D = (8-C)(3 hr)
Chan's speed going downstream is (8+C)mph
So we have:
D = (8+C)(2 hr)
We know that the d is the same for these two equations, so:
(8-C)(3 hr) = (8+C)(2 hr)
24 - 3C = 16 + 2C
5C = 8
C = (8/5) or 1 3/5 mph
Answer:
1.6 mph
Step-by-step explanation:
Distance, speed, and time are related by ...
distance = speed × time
We assume that the distances up and back are the same, so for a current speed of c, we have ...
3(8 -c) = 2(8 +c)
24 -3c = 16 +2c . . . eliminate parentheses
8 = 5c . . . . . . . . . . add 3c-16 to both sides
c = 8/5 = 1.6 . . . . . divide by 5
The speed of the current is 1.6 miles per hour.
Factorize 81xsquared+180x+100
Answer:
81x²+180x+1009x²+180x+10²using (a+b)²=a²+b²+2ab9x²+2(9x)(10)+10²(9x+2)²=(9x+2)(9x+2)A quadrilateral has two angles that measure 63° and 154°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?
Answer:
44° and 99°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Subtract the 2 given angles from 360° to find the remaining sum
360° - (63 + 154)° = 360° - 217° = 143°
The 2 angles which sum to 143° are in the ratio 4 : 9
sum the parts of the ratio, 4 + 9 = 13 parts , then
143° ÷ 13 = 11° ← value of 1 part of the ratio, so
4 parts = 4 × 11° = 44°
9 parts = 9 × 11° = 99°
The other 2 angles are 44° and 99°
A shoe store donated a percent of every sale to hospitals. The total sales were $9,950 so the store donated $796. What percent of 9,950 was donated to hospitals?
Answer:
8%
Step-by-step explanation:
when solving with percentages, you can “cross multiply”,
we know the fraction would be set up this way:
[tex]\frac{769}{9950}*\frac{x}{100}[/tex]
*there would be an 100 bc a percentage is out of 100*
Now, you have to multiply 769 by 100
[tex]769*100=\\ 76900[/tex]
Then divide by 9950 to get “x”
[tex]79600/9950=\\ 8[/tex]
hope this helps!
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?
The width of the piece of metal will be 24 inches while the length will be 29 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the width of metal w then the length will be w + 5
Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;
Length = w+5 - 2 -= w + 3
Width = w - 2
Height = 1
So,
Volume = (w+3)(w-2)1
594 = w² + 2w + 3w - 6
w² + w - 600 = 0
By solving this
w = 24 so width will be 24 and length will be 24 + 5 = 29.
Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".
For more about rectangles,
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Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
5. What is 75% of 50?
Answer:
37.5
Step-by-step explanation:
multiply 50 by .75
same as
50/4=12.5+25=37.5
Which describes how triangle D was transformed to result in similar triangle D'?
A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
C. Reflection
Step-by-step explanation:
Hope it helps!
Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.
The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5
From the complete question, the given parameters are:
[tex]Ratio =3 : 4[/tex] ---- the ratio
[tex]A = -6[/tex]
[tex]B = 2[/tex]
The student's steps are as follows:
[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]
[tex]C = \frac 34 (8) + (-6)[/tex]
[tex]C = 6 -6[/tex]
[tex]C = 0[/tex]
To determine the position of point C from the given ratio, we make use of the following quotient;
[tex]Position = \frac 3{3 + 4}[/tex]
[tex]Position = \frac 37[/tex]
This means that, the student ought to add 3 and 7, to get the total number of section.
Hence, the student's work is incorrect, and the reason is (a)
Read more about partitions at:
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Answer:
A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7
Step-by-step explanation:
edge 2022
Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area
Answer:
it becomes a 12 by 20
Step-by-step explanation:
The price of petrol increased by 8% to Rs 540 per litre. Find the old price.
Answer:
The original price is Rs. 50
Step-by-step explanation:
Let the original price be Rs.x
x+8% of x=54
x+(8/100)*x=54
x+8x/100=54
(100x+8x)/100=54
108x/100=54
x=54* 100/108
x=50.
The original price is Rs. 50
Answer:
Rs 500 per literStep-by-step explanation:
Let the initial price be x.
We have:
x + 8% of x = 540Rewrite it as below and solve for x:
x + 0.08x = 5401.08x = 540x = 540/1.08x = 500Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.
Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)
Answer:
The 2 numbers are 14 and 17.
Step-by-step explanation:
Let the 2 numbers be x and y.
x + 11 = 2y
x - 2y = -11...............A
y +20 = 2x
2x - y = 20 ...............B
Multiply equation A by -2:
-2x + 4y = 22............C
Adding B and C :-
3y = 42
y = 14.
Substitute y = 14 in equation A:
x - 2(14) = -11
x = -11 + 28
x = 17.
CAN SOMEONE FACTOR THIS PLEASE
125х^6 - 81
Answer:
0
Step-by-step explanation:
125×^6_81=0
×^6 we do not support this expression
ans = 0
Alebgra!!
Please help me fast now plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz i will give you alot of my points.
Question:
Find the perimeter of the rectangle with length (2w + 7) feet and width w feet.
Answer:
I think it's 18
Step-by-step explanation:
P=2(l+w)=2(7+2)=18
it's been awhile I believe this is it
While In a cave what did Sirius tell Harry and his friends about crouch
The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.
It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.
In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.
Learn more about Harry on:
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I WILL MARK BRAINLIEST IF SOMEONE ACTUALLY KNOWS THIS ITS NOT 72
Answer:
D Trust Me
Step-by-step explanation:
Answer:
I is D
Step-by-step explanation:
I just counted by to on all of the squares and got 52
help me on this question. would be nice if you could also graph it as well
Which is factorial using integers?
a) y+25
b) y^2-25
c) y^2+25
d) y-10
e) y^2+10
Answer:
i feel like its A or D i could be wrong but i believe its one of the two
Brainiest if good answer!
No links!!! I won’t view them
Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
Learn more about the linear equation here:
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Please help I forgot how to do this completely
Step-by-step explanation:
9x+79+56=180(sum of angles of triangle)
9x+135=180
9x=180-135
x=45÷9
x=5
compare the following number :-
▪︎ 3 × 10¹² and 4 × 10¹¹
I need a well explained solution,
pls not from any other websites
thx for answering~~
Answer:
[tex] {10}^{12} = 1000000000000[/tex]
Then ,[tex]3 \times {10}^{12} = 3000000000000[/tex]
And[tex] {10}^{11} = 100000000000[/tex]
Then ,[tex]4 \times {10}^{11} = 400000000000[/tex]
Step-by-step explanation:
• Hence , 3 x 10 to the power 12 is greater .The value of 3 × 10¹² is greater than 4 × 10¹¹
The standard scientific expression is given as A * 10^n
Given the scientific values 3 × 10¹² and 4 × 10¹¹, we need to compare the values.The value of their powers will determine which of the values is greater or less.For the notation 3 × 10¹², we can see that the power is 12 while for the notation 4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹
Learn more on scientific values here: https://brainly.com/question/1522308
Determine the correct value of 3x + 2 when x= 5
Step-by-step explanation:
3x+2
3 x 5=15
15 + 2 = 17
so your answer is 17
pemdas
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
What is the value of X?
37 x X = 222
Answer:
87
Step-by-step explanation:
sorry if im wrong
Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.
Answer:
Your answer would be y= -x + 5
Step-by-step explanation:
Hope I helped!
Answer:
-x+5
Step-by-step explanation:
khan told me ;p
Find the total surface of :
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.
Answer:
m= 2
b=9
Step-by-step explanation:
-4, 1 -3,3
put it into y2-x2 divided by y1-x1
y2= 3
x2= 1
y1= -3
x1=-4
3-1 divided by -4--3= 2/1 =2x
get one of the points either -4,1 or -3,3
If you use -4,1 -4=x 1=y
put it into y=mx+b and you get 1= -4(2)+b simplify
1=-8+b add 8 to other side b=9
Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!
Answer:
answer ????
Step-by-step explanation:
Evaluate to function for the given value of X
[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]